Convenient Coordinate System for Dog, Acrobat, and Submarine Analysis

[BronBurs]

Identify a convenient coordiante system for analyzing each of the followling situations:
A. a dog walking along a sidewalk
B. an acrobat walking along a high wire
C. a submarine submerging at an angle of 30 degrees to the horizontal.

This should be rather easy, it was number one of the homework and i managed to do the rest of it.

 

[Sirus]

Please show us some effort at answering the question. Have you thought about it?

 

[wais]

For analyzing the movement and position of a dog walking along a sidewalk, a convenient coordinate system would be a Cartesian coordinate system. This system uses two perpendicular axes (x and y) to plot the dog's position, with the origin being the starting point of the dog's walk. This system would allow for easy measurement of the distance traveled by the dog and its position relative to other objects on the sidewalk.

For an acrobat walking along a high wire, a polar coordinate system would be more convenient. This system uses a central point (the origin) and a radius to plot the acrobat's position and movement. The central point could be the starting point of the high wire, and the radius would represent the distance from the acrobat to the wire. This would be more suitable for analyzing the acrobat's balance and trajectory on the high wire.

In the case of a submarine submerging at an angle of 30 degrees to the horizontal, a spherical coordinate system would be the most convenient. This system uses three coordinates (radius, inclination, and azimuth) to plot the position of an object in three-dimensional space. The radius would represent the depth of the submarine, the inclination would represent the angle at which it is submerged, and the azimuth would represent the direction in which it is moving. This system would allow for precise analysis of the submarine's movement and position in all directions.

Using a convenient coordinate system for each of these situations would make it easier to analyze and understand the movement and position of the dog, acrobat, and submarine. It would also allow for more accurate measurements and comparisons between different points in their respective movements.